1205760 has 80 divisors (see below), whose sum is σ = 3879216. Its totient is φ = 319488.

The previous prime is 1205753. The next prime is 1205767. The reversal of 1205760 is 675021.

It is an interprime number because it is at equal distance from previous prime (1205753) and next prime (1205767).

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7602 + ... + 7758.

2^1205760 is an apocalyptic number.

1205760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939608).

1205760 is an abundant number, since it is smaller than the sum of its proper divisors (2673456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1205760 is an equidigital number, since it uses as much as digits as its factorization.

1205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1205760 is about 1098.0710359535. The cubic root of 1205760 is about 106.4356109719.

It can be divided in two parts, 1 and 205760, that added together give a triangular number (205761 = T₆₄₁).

The spelling of 1205760 in words is "one million, two hundred five thousand, seven hundred sixty".